153099306143168 has 448 divisors, whose sum is σ = 390386451087360. Its totient is φ = 57852419788800.

The previous prime is 153099306143101. The next prime is 153099306143219. The reversal of 153099306143168 is 861341603990351.

153099306143168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6683504771 + ... + 6683527677.

It is an arithmetic number, because the mean of its divisors is an integer number (871398328320).

Almost surely, 2^{153099306143168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153099306143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195193225543680).

153099306143168 is an abundant number, since it is smaller than the sum of its proper divisors (237287144944192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153099306143168 is a wasteful number, since it uses less digits than its factorization.

153099306143168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23304 (or 23294 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 59.

The spelling of 153099306143168 in words is "one hundred fifty-three trillion, ninety-nine billion, three hundred six million, one hundred forty-three thousand, one hundred sixty-eight".